Determinants in Linear Algebra: Tutoring Solution Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. How many determinants do you need to find in order to solve a linear system in three variables using Cramer's rule?

Question 2 2.

What is the determinant of the coefficient matrix of this linear system?

2x + 2y = 10

3x - 2y = 0

Question 3 3.

In this system of equations, which numbers are your constant numbers?

x + 3y - 2z = 18

2x - y - z = -7

4x - 2y + z = -8

Question 4 4. What is the determinant?

Question 5 5. Find the determinant of the following matrix.

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Question 6 6. To find D sub y, which column of the coefficient matrix would you replace with the constant numbers?

Question 7 7. Find the determinant.

Question 8 8. Find the determinant of the following matrix.

Question 9 9. Use Cramer's rule to find the z solution to this linear system.

Question 10 10. For a linear system with two variables, how many determinants do we need to find to find the complete solution using Cramer's rule?

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Question 11 11. What size is the following matrix?

Question 12 12. What is the determinant of the coefficient matrix for this linear system?

Question 13 13. Which choice below could be a possible answer to the determinant of a matrix?

Question 14 14. Which column do you replace in the coefficient matrix if you want to solve for the y solution?

Question 15 15. Which of the following would be a square matrix?

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Question 16 16. Find the determinant.

Question 17 17.

Find the x solution of this system using Cramer's rule.

2x + 2y = 10

3x - 2y = 0

Question 18 18.

Find the y solution of this system using Cramer's rule.

2x + 2y = 10

3x - 2y = 0

Question 19 19. Which of the following is the correct formula for finding the determinant of this matrix?

Question 20 20. What is the determinant of the minor matrix related to the number 2 in the top row?

Determinants in Linear Algebra: Tutoring Solution Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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